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101233023332 = 22722953336041
BaseRepresentation
bin101111001000111110…
…1010101100101100100
3100200022002210102021112
41132101331111211210
53124311123221312
6114301131004152
710212435333500
oct1362175254544
9320262712245
10101233023332
1139a29447851
1217752899658
1397140c704c
144c84b09300
1529775e9d22
hex1791f55964

101233023332 has 72 divisors (see below), whose sum is σ = 217210827960. Its totient is φ = 41099036160.

The previous prime is 101233023329. The next prime is 101233023413. The reversal of 101233023332 is 233320332101.

It can be written as a sum of positive squares in 4 ways, for example, as 45887637796 + 55345385536 = 214214^2 + 235256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101233023298 and 101233023307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133232 + ... + 469272.

It is an arithmetic number, because the mean of its divisors is an integer number (3016817055).

Almost surely, 2101233023332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108605413980).

101233023332 is an abundant number, since it is smaller than the sum of its proper divisors (115977804628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101233023332 is a wasteful number, since it uses less digits than its factorization.

101233023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336141 (or 336132 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 101233023332 its reverse (233320332101), we get a palindrome (334553355433).

The spelling of 101233023332 in words is "one hundred one billion, two hundred thirty-three million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 53 58 98 106 116 196 203 212 371 406 742 812 1421 1484 1537 2597 2842 3074 5194 5684 6148 10388 10759 21518 43036 75313 150626 301252 336041 672082 1344164 2352287 4704574 9409148 9745189 16466009 17810173 19490378 32932018 35620346 38980756 65864036 68216323 71240692 124671211 136432646 249342422 272865292 477514261 498684844 516495017 872698477 955028522 1032990034 1745396954 1910057044 2065980068 3490793908 3615465119 7230930238 14461860476 25308255833 50616511666 101233023332